Q: What are the factor combinations of the number 20,620,285?

 A:
Positive:   1 x 206202855 x 41240577 x 294575535 x 58915137 x 557305185 x 111461259 x 796151295 x 15923
Negative: -1 x -20620285-5 x -4124057-7 x -2945755-35 x -589151-37 x -557305-185 x -111461-259 x -79615-1295 x -15923


How do I find the factor combinations of the number 20,620,285?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 20,620,285, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 20,620,285
-1 -20,620,285

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 20,620,285.

Example:
1 x 20,620,285 = 20,620,285
and
-1 x -20,620,285 = 20,620,285
Notice both answers equal 20,620,285

With that explanation out of the way, let's continue. Next, we take the number 20,620,285 and divide it by 2:

20,620,285 ÷ 2 = 10,310,142.5

If the quotient is a whole number, then 2 and 10,310,142.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,620,285
-1 -20,620,285

Now, we try dividing 20,620,285 by 3:

20,620,285 ÷ 3 = 6,873,428.3333

If the quotient is a whole number, then 3 and 6,873,428.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,620,285
-1 -20,620,285

Let's try dividing by 4:

20,620,285 ÷ 4 = 5,155,071.25

If the quotient is a whole number, then 4 and 5,155,071.25 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 20,620,285
-1 20,620,285
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15735371852591,29515,92379,615111,461557,305589,1512,945,7554,124,05720,620,285
-1-5-7-35-37-185-259-1,295-15,923-79,615-111,461-557,305-589,151-2,945,755-4,124,057-20,620,285

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